Simple restricted modules for the restricted Hamiltonian algebra

DOI10.1006/jabr.1997.7172zbMath0897.17021OpenAlexW2015254646MaRDI QIDQ1379072

Randall R. Holmes

Publication date: 12 October 1998

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1997.7172

zbMATH Keywords

simple modulesrestricted Lie algebrasHamiltonian algebraexceptional modulesexceptional irreducible restricted modulesgraded Lie algebras of Cartan type

Mathematics Subject Classification ID

Modular Lie (super)algebras (17B50)

Related Items (10)

Maximal subalgebras of Cartan type in the exceptional Lie algebras ⋮ Simple modules for modular Lie superalgebras \(W(0|n)\), \(S(0|n)\), and \(K(n)\) ⋮ Restricted Lie algebras with maximal 0-PIM ⋮ ON SIMPLE MODULES FOR THE RESTRICTED LIE ALGEBRAS OF CARTAN TYPE ⋮ IRREDUCIBLE REPRESENTATIONS OF THE HAMILTONIAN ALGEBRAH(2r;n) ⋮ A modular analogue of Morozov's theorem on maximal subalgebras of simple Lie algebras ⋮ Cartan matrices for restricted Lie algebras ⋮ Representations of the restricted Cartan type Lie superalgebra \(W(m,n,1)\) ⋮ Varieties of elementary abelian Lie algebras and degrees of modules ⋮ Some simple modules for the restricted Cartan-type Lie algebras

Cites Work

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• Graded modules of graded Lie algebras of Cartan type. III: Irreducible modules
• Classification of restricted simple Lie algebras
• Brauer-type reciprocity for a class of graded associative algebras
• Dimensions of the simple restricted modules for the restricted contact Lie algebra
• Cartan invariants for the restricted toral rank two contact Lie algebra
• The weyl modules and the irreducible representations of the symplectic group with the fundamental highest weights
• Projective modules over Lie algebras of Cartan type
• Irreducible constituents of graded modules for graded contact lie algebras of cartan type

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